- #1

- 98

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[tex]t_{1}=14[/tex]

[tex]t_{k}=24-5t_{k-1}[/tex] for each k <= 2

For every positive integer [tex]n[/tex], [tex]t_{n}[/tex] can be expressed as [tex]t_{n}=p*q^n+r[/tex] where p, q and r are constants. The value of p, q and r is?

I found out [tex]t2=-46[/tex] and [tex]t3=254[/tex] and wrote out

[tex]14=p*q+r\\[/tex]

[tex]-46=p*q^2+r\\[/tex]

[tex]254=p*q^3+r[/tex]

I don't know what to do from here... is what I did so far even correct? TiA.